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Finding the Fourth Proportional to 208,031.70, 312,222.60 and 194,909.70

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Solution

The fourth proportional to 208,031.70, 312,222.60 and 194,909.70 is: 292,528.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,031.70 : 312,222.60 = 194,909.70 : x
  2. Step 2: Convert to fraction form
    208,031.70/312,222.60 = 194,909.70/x
  3. Step 3: Cross multiply
    208,031.70x = 312,222.60 × 194,909.70
  4. Step 4: Simplify right side
    208,031.70x = 60,855,213,299.22
  5. Step 5: Solve for x
    x = 60,855,213,299.22/208,031.70
  6. Step 6: Final answer
    x = 292,528.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.